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Finding the Fourth Proportional to 259.65, 358.15 and 204.37

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Solution

The fourth proportional to 259.65, 358.15 and 204.37 is: 281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.65 : 358.15 = 204.37 : x
  2. Step 2: Convert to fraction form
    259.65/358.15 = 204.37/x
  3. Step 3: Cross multiply
    259.65x = 358.15 × 204.37
  4. Step 4: Simplify right side
    259.65x = 73,193.32
  5. Step 5: Solve for x
    x = 73,193.32/259.65
  6. Step 6: Final answer
    x = 281.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.